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Advances in the Theory and Applications of Non-integer Order Systems pp 149–159Cite as

Piecewise Affine Representation of Discrete in Time, Non-integer Order Systems

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 257))

Abstract

The multi-model approach has been often used for modeling and control of physical processes in recent years, leading to a class of so-called switched systems. Their properties, particularly the stability, observability and controllability analysis, have become one of active research topics in control theory and applications. In the paper a method of modeling nonlinear, discrete in time, non-integer order systems by means of piecewise affine multi-models is proposed, and then the special cases of such models are described. The discussion is illustrated with results of simulation tests.

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Author information

Authors and Affiliations

  1. Department of Control Engineering and Robotics, West Pomeranian University of Technology at Szczecin, ul. Sikorskiego 37, 70-313, Szczecin, Poland

    Stefan Domek

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  1. Stefan Domek
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Correspondence to Stefan Domek .

Editor information

Editors and Affiliations

  1. , Dept. of Automatics & Biomedical Eng., AGH University of Science and Technology, Al. Mickiewicza 20, Cracow, 30-059, Poland

    Wojciech Mitkowski

  2. , Systems Research Institute, Polish Academy of Sciences, Ul. Newelska 6, Warsaw, 01-447, Poland

    Janusz Kacprzyk

  3. , Dept. of Automatics & Biomedical Eng., AGH University of Science and Technology, Al. Mickiewicza 30, Cracow, 30-059, Poland

    Jerzy Baranowski

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Domek, S. (2013). Piecewise Affine Representation of Discrete in Time, Non-integer Order Systems. In: Mitkowski, W., Kacprzyk, J., Baranowski, J. (eds) Advances in the Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 257. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00933-9_13

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  • DOI: https://doi.org/10.1007/978-3-319-00933-9_13

  • Publisher Name: Springer, Heidelberg

  • Print ISBN: 978-3-319-00932-2

  • Online ISBN: 978-3-319-00933-9

  • eBook Packages: EngineeringEngineering (R0)

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